Question

Point C is located at (1, 2) and point D is located at (-4, -2). Find the point that is 1/4 the distance from point C to point D.

Answer 1

\[(x _{1}+x _{2}/2 , y _{1}+y _{2}/2)\]

Answer 2

thats your midpoint formula.

Answer 3

so first find the midpoint of your two points

Answer 4

so ((1-4)/2, (2-2)/2) = (-3/2, 0) is your midpoint

Answer 5

from there, find the second midpoint from the original midpoint to point c and that is 1/4 of the way

Answer 6

hope that helps :)

Answer 7

How did you get the -3/2?

Answer 8

oh wait never mind

Answer 9

i got that by "adding" 1 and -4 so 1 + (-4) divided by 2

Answer 10

How do I find the second midpoint?

Answer 11

for explanation purposes, im going to give your midpoint, the variable x as if it were a third point on your line ok? so you have C X and D all on the same line

Answer 12

using the same formula i used to find the midpoint of C and D, find the midpoint of C and X

Answer 13

How do I do that?

Answer 14

your points are (1, 2) and (-3/2, 0) so your formula goes ((1- (3/2)/2, (2-0)/2)

Answer 15

so -.5 and 2?

Answer 16

-0.25 and 1

Answer 17

I redid it and got that. How is the .25 negative though?

Answer 18

because the -3/2 is greater than 1 and your subtracting from 1 so you will get a negative number as your answer